{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "32e7bb56-59bf-435f-968f-49b04d4f9d12",
   "metadata": {},
   "source": [
    "Chapter 30\n",
    "# 多项式回归 + 岭回归正则化\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b9da7c97-2ff7-4d15-9440-19a79b848a82",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import Ridge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6bf9dbc1-5c75-44d7-8738-fd49b099185f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 生成随机数据\n",
    "np.random.seed(0)\n",
    "num = 30"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d06e05d6-dbec-438c-8113-9dc94cc66d8b",
   "metadata": {},
   "outputs": [],
   "source": [
    "X = np.random.uniform(0,4,num)\n",
    "y = np.sin(0.4*np.pi * X) + 0.4 * np.random.randn(num)\n",
    "data = np.column_stack([X,y])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0b990baa-4249-420d-afae-1747039935ac",
   "metadata": {},
   "outputs": [],
   "source": [
    "x_array = np.linspace(0,4,101).reshape(-1,1)\n",
    "degree = 8 # 多项式回归次数\n",
    "# 将数据扩展为9列\n",
    "poly = PolynomialFeatures(degree = degree)\n",
    "X_poly = poly.fit_transform(X.reshape(-1, 1))\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "01175434-4ace-48ec-b5ab-23fa7b1704f3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "$y = -0.985 + 18.400x^1 -71.750x^2 + 122.612x^3 -108.324x^4 + 53.620x^5 -15.058x^6 + 2.243x^7 -0.138x^8$\n",
      "$y = 0.026 + 3.491x^1 -13.188x^2 + 24.668x^3 -23.210x^4 + 12.008x^5 -3.515x^6 + 0.547x^7 -0.035x^8$\n",
      "$y = 0.222 + 0.380x^1 + 0.149x^2 + 0.258x^3 -0.391x^4 + 0.203x^5 -0.093x^6 + 0.027x^7 -0.003x^8$\n",
      "$y = 0.335 + 0.125x^1 + 0.132x^2 + 0.099x^3 + 0.019x^4 -0.048x^5 -0.033x^6 + 0.022x^7 -0.003x^8$\n",
      "$y = 0.428 + 0.045x^1 + 0.064x^2 + 0.070x^3 + 0.049x^4 -0.008x^5 -0.065x^6 + 0.030x^7 -0.004x^8$\n",
      "$y = 0.585 + 0.013x^1 + 0.020x^2 + 0.024x^3 + 0.019x^4 -0.004x^5 -0.029x^6 + 0.013x^7 -0.002x^8$\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x2000 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(3,2,figsize=(10,20))\n",
    "axes = axes.flatten()\n",
    "# 惩罚因子\n",
    "alpha_array = [0.00001, 0.0001, 0.01, 1, 10, 100]\n",
    "\n",
    "for ax, alpha_idx in zip(axes,alpha_array):\n",
    "\n",
    "    # 训练岭回归模型\n",
    "    ridge = Ridge(alpha=alpha_idx)\n",
    "    ridge.fit(X_poly, y.reshape(-1,1))\n",
    "    # 预测\n",
    "    y_array_pred = ridge.predict(poly.fit_transform(x_array))    \n",
    "    y_poly_pred  = ridge.predict(X_poly)\n",
    "    data_ = np.column_stack([X,y_poly_pred])\n",
    "    # 绘制散点图\n",
    "    ax.scatter(X, y, s=20)\n",
    "    ax.scatter(X, y_poly_pred, marker = 'x', color='k')\n",
    "    # 绘制残差\n",
    "    ax.plot(([i for (i,j) in data_], [i for (i,j) in data]),\n",
    "            ([j for (i,j) in data_], [j for (i,j) in data]),\n",
    "             c=[0.6,0.6,0.6], alpha = 0.5)\n",
    "    \n",
    "    ax.plot(x_array, y_array_pred, color='r')\n",
    "    ax.set_title('Alpha = %f' % alpha_idx)\n",
    "    \n",
    "    # 提取参数\n",
    "    coef = ridge.coef_[0]; # print(coef)\n",
    "    intercept = ridge.intercept_[0]; # print(intercept)\n",
    "    # 回归解析式\n",
    "    equation = '$y = {:.3f}'.format(intercept)\n",
    "    for j in range(1, len(coef)):\n",
    "        equation += ' + {:.3f}x^{}'.format(coef[j], j)\n",
    "    equation += '$'\n",
    "    equation = equation.replace(\"+ -\", \"-\")\n",
    "    print(equation)\n",
    "    ax.set_aspect('equal', adjustable='box')\n",
    "    ax.set_xlim(0,4); ax.set_ylim(-2,2); ax.grid(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a7cfff91-ab88-4665-ae94-4cfa2a196fd0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 多项式回归模型参数随惩罚因子α变化\n",
    "alphas = np.logspace(4, -2, 100)\n",
    "degrees = ['Degree = ' + str(d_i) for d_i in range(10)]\n",
    "colors = plt.cm.jet(np.linspace(0,1,len(degrees)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "65b3a5ad-2136-44af-8dc9-5d585a23c110",
   "metadata": {},
   "outputs": [],
   "source": [
    "coefs = []\n",
    "for alpha_idx in alphas:\n",
    "    ridge = Ridge(alpha=alpha_idx)\n",
    "    ridge.fit(X_poly, y.reshape(-1,1))\n",
    "    coefs.append(ridge.coef_[0])\n",
    "coefs = np.array(coefs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "b8df3d94-7a2a-4f9e-87f9-08d712fd3a05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f2eecb29e0>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(5,3))\n",
    "for idx in range(9):\n",
    "    ax.plot(alphas, coefs[:,idx], color = colors[idx])\n",
    "ax.set_xscale(\"log\")\n",
    "ax.set_xlim(ax.get_xlim()[::-1]) # 调转横轴\n",
    "ax.set_xlabel(r\"Regularization strength, penalty $\\alpha$\")\n",
    "ax.set_ylabel(\"Coefficients\")\n",
    "ax.legend(degrees,loc='center left', bbox_to_anchor=(1, 0.5))"
   ]
  }
 ],
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